# Metric Units Of Length Homework 12.7

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**metric units of length**used are the kilometre (km), the metre (m), the centimetre (cm) and the millimetre (mm). These units of length are related as follows:

Note that we would measure the:

- thickness of the rubber sheet for a table tennis bat in millimetres.
- width of a television screen in centimetres.
- width of a road in metres.
- distance between two airports in kilometres.

Various instruments are used to measure length. For example:

**rulers**and**tape measures**are marked in millimetres or centimetres to measure shorter lengths accurately.- a
**trundle wheel**is used to measure length to the nearest metre. Note that a counter may be attached to the trundle wheel to count metres. - a car's
**odometer**often measures distance in tenths of a kilometre.

### Converting Metric Units

We know that:

This suggests that:

- To convert length from a larger unit into a smaller unit, multiply by the relevant power of 10.
- To convert length from a smaller unit into a larger unit, divide by the relevant power of 10.

You should be able to work confidently with metric units to solve problems in daily life.

Example 1

Convert the following measurements to the units indicated:

a. 7 cm to mm

b. 8 m to cm

c. 9 km to m

##### Solution:

Example 2

Convert the following measurements to the units indicated:

a. 6 m to mm

b. 4 km to cm

c. 3 km to mm

##### Solution:

Example 3

Convert the following measurements to the units indicated:

a. 62.8 cm to mm

b. 48.7 m to cm

c. 8.26 m to mm

d. 4.75 km to mm

##### Solution:

Example 4

Convert the following measurements to the units indicated:

a. 975 m to km

b. 650 cm to m

c. 8000 mm to m

d. 950 000 cm to km

##### Solution:

Key Terms

length, metric units of length, kilometre, metre, centimetre, millimetre, ruler, tape measure, trundle wheel, odometer